For the graphed function f(x) = -(5)^x - 3 + 2, calculate the average rate of change from x = 4 to x = 6

Substitute using the average rate of change formula.

((−(5)^6−3+2)−(−(5)^4−3+2)) / ((6)−(4))

Simplify the expression.

−7500

Step-by-step explanation:

Step-by-step explanation:

The function is:

Find values of f(4) and f(6);

Average rate of change in the given interval is:

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

y-y1=4(x-x1)

step-by-step explanation:

this is point-slope form since you only have 4 as the slope it goes in place of m

hope this : )